If all the level surfaces of a function $f ( x , y , z )$ are parallel planes, then f must be a linear function.

Name: If all the level surfaces of a function $f ( x , y , z )$ are parallel planes, then f must be a linear function.
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The Answer of If all the level surfaces of a function $f ( x , y , z )$ are parallel planes, then f must be a linear function.

If All the Level Surfaces of a Function f(x,y,z)f ( x , y , z )f(x,y,z)

If All the Level Surfaces of a Function $f ( x , y , z )$